On the span of Hadamard products of vectors

Li Qiu; Xingzhi Zhan

doi:10.1016/j.laa.2006.10.019

On the span of Hadamard products of vectors

Li Qiu
, Xingzhi Zhan^*

^*此作品的通讯作者

数学科学学院

Hong Kong University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

Let A₁, ..., A_k be positive semidefinite matrices and B₁, ..., B_k arbitrary complex matrices of order n. We show that{Mathematical expression}and{Mathematical expression}where {ring operator} means the Hadamard product. This generalizes two recent results of Sun, Du and Liu.

源语言	英语
页（从-至）	304-307
页数	4
期刊	Linear Algebra and Its Applications
卷	422
期	1
DOI	https://doi.org/10.1016/j.laa.2006.10.019
出版状态	已出版 - 1 4月 2007

访问文件

10.1016/j.laa.2006.10.019

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{540e5a53991c41dcaa042eeb8c2a8b73,

title = "On the span of Hadamard products of vectors",

abstract = "Let A1, ..., Ak be positive semidefinite matrices and B1, ..., Bk arbitrary complex matrices of order n. We show that\{Mathematical expression\}and\{Mathematical expression\}where \{ring operator\} means the Hadamard product. This generalizes two recent results of Sun, Du and Liu.",

keywords = "Hadamard product, Range, Span",

author = "Li Qiu and Xingzhi Zhan",

year = "2007",

month = apr,

day = "1",

doi = "10.1016/j.laa.2006.10.019",

language = "英语",

volume = "422",

pages = "304--307",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "1",

}

TY - JOUR

T1 - On the span of Hadamard products of vectors

AU - Qiu, Li

AU - Zhan, Xingzhi

PY - 2007/4/1

Y1 - 2007/4/1

N2 - Let A1, ..., Ak be positive semidefinite matrices and B1, ..., Bk arbitrary complex matrices of order n. We show that{Mathematical expression}and{Mathematical expression}where {ring operator} means the Hadamard product. This generalizes two recent results of Sun, Du and Liu.

AB - Let A1, ..., Ak be positive semidefinite matrices and B1, ..., Bk arbitrary complex matrices of order n. We show that{Mathematical expression}and{Mathematical expression}where {ring operator} means the Hadamard product. This generalizes two recent results of Sun, Du and Liu.

KW - Hadamard product

KW - Range

KW - Span

UR - https://www.scopus.com/pages/publications/33846652458

U2 - 10.1016/j.laa.2006.10.019

DO - 10.1016/j.laa.2006.10.019

M3 - 文章

AN - SCOPUS:33846652458

SN - 0024-3795

VL - 422

SP - 304

EP - 307

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1

ER -

On the span of Hadamard products of vectors

摘要

访问文件

其它文件与链接

指纹

引用此